lEATTY'S 




METHOD 



OF 




INTEREST. 



LIBRARY OF CONGRESS. 

dlptp ©ap^rig^i Ifc. 

Shelf «&.3« 8 „ 



UNITED STATES OF AMERICA. 



\ 



A NEW METHOD 



-OF- 



(Computing Interest 



FROM 



'Four T?er (Lentum to ^Twelve ~Per (Lenlura, 
SHORT AND EASY METHOD, 



-BY- 



HCEnSTI^^" BEATTY, 



MASSILLON, OHIO. 



Designed for the use of Schools, Bankers and Business 
Men Generally. 



COPYRIGHTED BY HENRY BEATTY 1887--18I 
ALL RIGHTS RESERVED. 



.3d* 



MASSILLON, OHIO. 

Printed by Newstetter & Co., Job Printers and Publishers. 

1889. 



LC Control Number 




tmp96 027235 



PREFACE. 



TN THIS LITTLE BOOK, I have labored to obtain the 
-*- desired result with the least work possible. It seems to 
me that much unnecessary work is expended upon examples, 
where the interest is desired, and it has been my aim to make the 
method shorter and easier. For instance, in the six per cent, 
method, why need we waste time by multiplying the entire 
principal by the number of days and dividing by sixty, when the 
same result can be had by dividing either the time or principle by 
six and multiply the quotient by the unused factor. 

I have introduced several ways of obtaining interest under 
the same principle, and a good accountant will see at a glance, 
which one will be best to use. In presenting this book to the 
public, it must stand or fall on its own merits. I have no refer- 
ences or testimonials to accompany it, but publish it simply 
because I think it makes hard work much easier and shorter. 

HENRY BEATTY. 



Simple Interest. 



Simple Interest is a sum paid for the use of money and is 
computed only on the principal at the specified rate. 

Legal rate per cent., is the rate per cent, established by law. 
The legislature of each state makes its own law and can change 
the rate per cent., to suit the demand and supply of money. To 
compute interest we must have principal, time and rate per cent. 

given. 

Principal is the sum of money, on which interest is paid. 

Interest is the sum computed on the principal and must be 
paid by the party indebted for the principal. 

Rate per cent, per annum, is the fractional parts of one dol- 
lar, paid for the use of one dollar for one year. 

Amount, is the sum of the principal and interest. 

Interest is the product of three factors — rate per cent, per 
annum, principal, and one thirty-sixth of the time in days, or 
the number of days, rate per cent., and one thirty- sixth of the 
principal. 

Multiplying the one thirty-sixth by the rate per cent, we 
get as many one thirty- sixths as the rate per cent* may be. By 
this product, multiply the unused factor, and we have the inter- 
est. 

5 



6 beatty's short method 

A unit is one of any number of units, a cent being the low- 
est money value. 

In this method of computing interest we take years, months 
and days together, and get as many tenths as tenths are contained 
in the given time, at any rate per cent. The higher the interest 
the more tenths are required in the same time. By dividing 360 
days by 36, we get ten tenths for one year, the quotient of this 
divisor is one sixth of a quotient obtained by a divisor of six. By 
multiplying the ten tenths by the given rate per cent., we have 
the interest on one dollar for one year. Whereas, if we divide 
our time by six, our quotient will be six times ten tenths and can 
only be used for six per cent., unless we take one sixth of the 
quotient and multiply it by the rate per cent. By dividing by 36 
or 12, we obtain the same result, but for the latter divisor, instead 
of reducing the months to days, we write the months and annex 
one third of the days. If the days are less than three, annex a 
cipher and 33J for one day and 66| for two days. If the days are 
three or more, dispense with the cipher. For one year, we write 
twelve months and annex a cipher (120). Thus written, it will, 
stand as one to ten, or as thirty-six to three hundred and sixty. 

It matters not whether we divide the time or the principal, 
though the time is preferable, unless the principal will divide 
evenly. In either case the quotient must be multiplied by the 
given rate per cent. At 6 per cent, on one dollar, we gain each 
day If hundredth of a cent. (Cent is a term used to express the 
one hundredth part of a dollar, consequently i*s place is in the 
first order of the first period and is counted both in the ascending 
and descending scale.) In six days we gain ^ of a cent. In 60 
days, 1 cent, and in 600 days or 20 months, we gain 10 cents 
on every dollar. Between these numbers we get tenths, hun- 
dredths, &c. 



OF COMPUTING INTEREST. 



IB 


H 


K 


ffi 


H 


H 


3 
9 

a 

-s 
o 
a 


3 

3 


O* 

3 


C 
3 

a 

a> 
a. 


3 

s* 

o 

c 


3* 

o 

P 

3 

a 


3 




3 




3* 
O 

c 


3 


.? 


r~ 


en 




a 




o 

3 






en 

P 
3 


j» 





M-t H Q 



c 

3 

a 



3 
09 










T3 






j: 










3 

a> 

3 






3 
O 










*n 












«, 


C0 


c 


O 




3 


r3 






T5 




C3 

3 


£ 

T3 


c/T 
j3 

3 


.2 


S 
•a 




c/T 




U3 

3 
O 


O 


1* 


S 




BB 


-3 


T3 




*o 


O 


C/3 

3 
a; 


-o 


■1-9 

"3 


3 


3 

3 


3 


3 
3 


s 


3 
3 


£ 


H 


E 


H 


H 


IE 


>5 


H 


ffi 



Though the above table could be carried almost beyond limit, 
it is necessary only to carry it far enough to show how impor- 
tant it is, when calculating interest, to place the figures in their 
proper order. One space to the left increases the value of any 
figure ten fold. Two spaces, one hundred fold, etc.. While one 
space to the right, decreases its value in the same proportion. 

We place our zero to the right of cent or unit; all to the left 
of that line are cents and dollars, and all to the right are tenths, 
hundredths, thousandths, &c. The value of figures are known 
only by the order in which they are placed. 

2£ is the quotient obtained by 
36)1.00(|j0 [ | 2-2- dividing t day by 36> and multi . 

* no 7 Pb m S %i by tne different rates 

■ »n = *"fr P er cent, we obtain the following 

table. 



beatty's short method 



NO. 1. 



This table contains the inter- 
est on one dollar for one day at 
the different rates per cent. 





Units 


T. 


H. 


Th. 


Sfc 











8^ 


H 








1 


H 


5# 








1 


3$ 


H 








1 


6f 


W 








1 


n 


% 








2 


n 


H 








2 


5 


1% 








2 


n 


i\% 








3 


0$ 


n% 








3 


H 



All to the right of the zero line are cut off. In computing 
on the fraction of one dollar cut off two places, and as many 
tenths, hundredths, thousandths, etc., as are annexed. 

36 being ^ of 360, by dividing 360 by 36, the quotient will 
be one per cent, of any rate per cent., be it 5, 6, or any other per 
cent. 

By multiplying 2? thousandths, by 6 per cent., we obtain 16f 
or If hundredths which is the interest on one dollar for one day 
at 6$. For 6 days, 6 times 16 f, the product will be ( 1 | | 0) 1 
tenth of 1 unit. 

Now, if it takes at 6#, 6 days to gain one tenth, it will take 
10 times 6 to gain 10 tenths or 1 unit. To gain 6 units, it will 
take 6 times 60, or 360 days, (60 tenths in one year). 

At 4£, multiply the 10 tenths by four and we have 40 tenths. 
At 4£ it takes 9 days to gain 1 tenth and 90 days to gain 1 unit. 
Four times 90 days equals 360 days, or 1 year. 

One year or 360 days, is the time upon which the rate per 
cent, is based. If the time is less than 360 days, the per cent, 
will be less than the rate per cent, per annum, and if the time 



OF COMPUTING INTEREST. 9 

is more than 360 days, the per cent, will be more than the rate 
per cent, per annum. 

In this method we compute any rate per cent, by dividing 
and multiplying, and when we divide either the time or the prin- 
cipal by 12 or 36, if the dividend will not contain the divisor, in 
the first two figures, write a cipher for the first figure in the quo- 
tient. By this we can see the value of our quotient. When we 
divide the time reduced to days by 36, and multiply the quotient 
by the required rate per cent, we have the interest on one dollar 
for the given time. Or divide the principal by 36, multiply by 
the rate per cent., this product by the number of days, and we 
have the required interest. 

Now, we will reverse the above 360 days, and say 360 dollars. 
The quotient will be the same. Divide by 36, multiply the quo- 
tient by the rate per cent., this product by the number of days, 
and we have the required interest. 

It matters not how long or short the time ; by reducing the 
time to days, and dividing by 36, the quotient will be 1 per cent. 
of the interest for the given time. For example, we divide 240 
days by 36, or 8 months by 12, our quotient will be 6f tenths, and 
by multiplying 6§ by 6#, our product will be 40 tenths, or 4 cents. 

We obtained the table of interest, beginning on page 13, by 
adding the fraction to the whole number, in the third column to 
the right, headed "Thousandths," of this small table, when the 
fraction was y z or more, and rejecting the fraction when less than 
one-half. For instance, in the table of interest (page 13) at 6% 
we write .017 instead of .016|. On $3,000 the I added will make 
the interest 1 cent more than it should be, and when J is added 
we will have 1 cent more on $2,000 than the correct interest. 
This can be avoided by using this small table, or by using the 
column of figures at the extreme left in the interest table, be- 
ginning on page 13. 



10 beatty's short method 

For example: Find interest on $342.00 for 25 days at 7#« 
Turn to page 24, run down the first column of figures till you 
reach 342, trace to the right and under the 1% column, you find 
6650. Multiply this by the number of days and we find the 
interest to be $1.66. 

6650 
25 



83 
133 

$1.66 



5,0 
50 



In the following table (Page 13), the interest is counted on 
one dollar at the different rates per cent, for 360 days, (allowing 
30 days for each month,) also for months and years separately. 
The unit or zero line is to the left of the three right hand figures. 
All on the left of that line are cents and dollars, and all on the 
right are tenths, hundredths, thousandths, etc. 

We have obtained this table by the following rule: Write the 
number of months, annex one third of the days, and divide by 
twelve, or the same result is obtained by dividing the entire num- 
ber of days, including the months, by thirty-six. Then multiply 
the quotient by the given rate per cent, and the result will be the 
interest on one dollar for the given time. 

To find the interest on a given sum for a given time at a 
given rate per cent., turn to the table, run down the first column 
of figures, representing time, till you reach the given time. 
Follow to the right, till you reach the figure under the column 
headed by the given rate per cent., and multiply the given prin- 
cipal by this figure. Cut off three right hand figures and allow 
two places for cents. 



OF COMPUTING INTEREST. 11 

Example 1. Find the interest on $36.00 for 18 days, at 7$. 

% of 18 days=6 days. 

12 )6.00 or 36 )1800 

050 050 

7 7 



350 350 

$36 $36 



2100 .12,600 

1050 



.12,600 



In the table run down the column representing time, until 
you reach the 18 days. Follow to the right and under the 1% 
column we find the number 0350. Multiply $36.00 by this num- 
ber, cut off the three right hand figures, and we have the required 
amount, 12 cents. 



Example 2. Find the interest on $50.00 for 3 months 18 
days, at 6$. 



4 of 18 days = 6 


days. 










12)3600 




or 


3 


mor 


iths=90 davs 


300 










18 


6 










36)108 " 


1800 










0300 


$50 










6 


.90000 










1800 

$50 



To use table, follow as before. .90,000 



12 beatty's short method 

Example 3. Find the interest on $100.00 for 2 years, G 
months at 8$. 



2 years=24 months. 2 years=^720 days. 

6 or G months=180 " 



12)30 « 36)900 



2.500 2.500 

8 8 



20000 20000 

$100 $100 

$20.00,000 $20.00,000 



Example 4. Find the interest on $9,729.00 for 43 days, at 6£. 
36 )600 9729 

016% 100 

6 $9.72,900 



100 



In the above examples we have annexed ciphers, the same 
as in the table of interest. In example No. 1 we have annexed 
one unnecessary cipher which is one thousandth of a unit, and by 
dispensing with that we have two figures to cut off: tenths and 
hundredths. 

In examples two and three, we have in each two unnecessary 
ciphers, and by dispensing with them, we have but the tenths cut 
off in either. 

Example 4 has two unnecessary ciphers annexed, but with 
them annexed we see that the principal and interest are precisely 
the same. In examples like this we cut of the right hand dollar 
figure from the principal with all to the right of it, and the 
interest remains. 



OF COMPUTING INTEREST. 



D 


W 


5£ 


H 


1% 


Sfo 


H 


10# 


Ufo 


12% 


1 


0.011 


0.014 


0.017 


0.019 


0.022 


0.025 


0028 


0.031 


0.033 


2 


0.022 


0.028 


0.033 


0.039 


0.044 


0.050 


0.056 


.0.061 


0.067 


3 


0.033 


0.042 


0.050 


058 


0.067 


0.075 


0.083 


0092 


0.100 


4 


0.044 


0.056 


0.067 


078 


0.089 


0.100 


0111 


0.122 


0.133 


5 


0.056 


0.069 


0.083 


0.097 


0.111 


0.125 


0.139 


0.153 


0167 


6 


0.067 


0.083 


0.100 


0.117 


0.133 


0.150 


0.167 


0.183 


0.200 


7 


0.078 


0.097 


0.117 


0.136 


0.156 


0.175 


0.194 


0.214 


0.233 


8 


0.089 


0.111 


0.133 


0.156 


0.178 


200 


0.222 


0.244 


0.267 


9 


0.100 


0.125 


0.150 


0.175 


0.200 


225 


0.250 


0275 


0.300 


10 


0.111 


0.139 


0.167 


0.194 


0222 


250 


0.278 


0306 


0.333 


11 


0.122 


0.153 


0.183 


0.214 


0.244 


275 


0.306 


0.336 


0.367 


12 


0.133 


0.167 


200 


0233 


0.267 


0300 


0.333 


0.367 


0.400 


13 


0.144 


0.181 


217 


0.253 


0.289 


0325 


0361 


397 


0.433 


14 


0.156 


0.194 


0.233 


0.272 


0.311 


350 


389 


0.428 


0.467 


15 


0.167 


0208 


0.250 


0.292 


0.333 


0.375 


417 


458 


0.500 


16 


0.178 


0222 


0.267 


0.311 


356 


0.400 


0.444 


0.485 


0.533 


17 


0.189 


0.236 


283 


0.331 


0.378 


0.425 


0.472 


0.519 


0.567 


18 


0.200 


0.250 


0.300 


0.350 


0.400 


0.450 


0.500 


0.550 


0.600 


19 


0.211 


0.264 


0.317 


0.369 


0.422 


475 


0.528 


0.581 


0.633 


20 


0.222 


0.278 


333 


0.389 


0.444 


0.500 


0.556 


0.611 


0.667 


21 


0.233 


0.292 


0.350 


0.408 


0.467 


0.525 


0.583 


0.642 


0.700 


22 


0.244 


0.306 


0.367 


0.428 


0.489 


0.550 


0.611 


0.672 


0.733 


23 


0.256 


0.319 


0.383 


0.447 


0.511 


0575 


0.039 


0.703 


0.767 


24 


0.267 


0.333 


0.400 


0.467 


0.533 


0.600 


0.667 


0.733 


0.800 


25 


0.278 


0.347 


0.417 


0.486 


0.556 


0.625 


0.694 


0.764 


0.833 


20 


0.289 


0.361 


0.433 


0.506 


0.578 


0650 


0.722 


0.794 


0.867 


27 


0.300 


0.375 


0.450 


0.525 


0.600 


675 


0.750 


0825 


900 


28 


0.311 


0.389 


0.467 


0.544 


0.622 


0700 


0.778 


0.856 


0.933 


29 


0.322 


0.403 


0.483 


0.564 


0.644 


725 


0.806 


0.886 


967 


30 


0.333 


0.417 


0.500 


0.583 


0.667 


0.750 


0833 


0917 


1.000 



13 



BEATTYS SHORT METHOD 





M D 


H 


5* 


H 


7£ 


8% 


% 


10£ 


\\% 


12£ 


SI 


1 1 


0.345 


0.431 


0.517 


0603 


0.689 


0.775 


862 


0.947 


1.033 


32 


" 2 


0.356 


0.444 


0.533 


0.622 


0.711 


0.800 


0.897 


0.978 


1.067 


33 


11 3 


0.367 


0.458 


0.550 


0.642 


0.733 


0.825 


0.923 


1.008 


1.100 


34 


u 4 


0.378 


0.472 


0.567 


0.661 


0.756 


0850 


948 


1.016 


1.133 


35 


" 5 


0.389 


0.486 


0.583 


0.681 


0.778 


0.875 


0.974 


1.069 


1.167 


36 


" 6 


0.400 


0.500 


0.600 


0.700 


800 


0.900 


1.000 


1.100 


1.200 


37 


" 7 


0.411 


0514 


0.617 


0.719 


0.822 


0.925 


1.028 


1.131 


1.233 


38 


" 8 


0.422 


0.528 


0.633 


0.739 


0.814 


0.950 


1.056 


1.161 


1267 


39 


« 9 


0.433 


0542 


0.650 


0.758 


0.867 


0.975 


1.083 


1.192 


1.300 


40 


" 10 


0.444 


556 


0.667 


0.778 


0889 


1.000 


1.111 


1.222 


1.333 


41 


" 11 


0456 


0.569 


0.683 


0.795 


911 


1.025 


1.139 


1.253 


1.367 


42 


" 12 


0.467 


0.583 


0.700 


0.817 


0.933 


1.050 


1.167 


1.283 


1.400 


43 


" 13 


0.478 


0.597 


0717 


0.836 


0.956 


1.075 


1.194 


1.314 


1.433 


44 


u 14 


0.489 


0.611 


0.733 


0.856 


0.978 


1.100 


1.222 


1.344 


1.467 


45 


" 15 


0.500 


625 


0.750 


0.875 


1.000 


1.125 


1.250 


1.375 


1.500 


46 


" 16 


0.511 


0.639 


0.767 


0.894 


1.022 


1.150 


1.278 


1.406 


1.533 


47 


" 17 


0.522 


0.653 


0.783 


0.914 


1.044 


1.175 


1.306 


1.437 


1.567 


48 


" 18 


0.533 


0.667 


0800 


0.933 


1.067 


1.200 


1.333 


1.470 


1.600 


49 


" 19 


0.544 


0.681 


0.817 


0.953 


1.089 


1.225 


1.361 


1.497 


1.633 


50 


" 20 


0.556 


0.694 


0.833 


972 


1.111 


1.250 


1.389 


1.528 


1.667 


51 


" 21 


0.567 


0.708 


0.850 


0.992 


1.133 


1.275 


1.417 


1.558 


1.700 


52 


M 22 


0.578 


0.722 


0.867 


1.011 


1.156 


1.300 


1.444 


1.589 


1.733 


53 


" 23 


0.589 


0.736 


0.883 


1.031 


1.178 


1.325 


1.472 


1.619 


1.767 


54 


" 24 


0.600 


0.750 


0.900 


1.050 


1.200 


1.350 


1.500 


1.650 


1.800 


55 


" 25 


0.611 


0.764 


0.917 


1.069 


1.222 


1.375 


1.528 


1.681 


1.833 


56 


" 26 


0.622 


0.778 


0.933 


1.089 


1.244 


1.400 


1.556 


1.711 


1.867 


57 


" 27 


0.633 


792 


0.950 


1.108 


1.267 


1.425 


1.583 


1.742 


1900 


58 


" 28 


0.644 


0806 


0.967 


1.128 


1.289 


1.450 


1611 


1.772 


1.933 


59 


u 29 


0.656 


0.819 


0.983 


1.147 


1.311 


1.475 


1.639 


1.803 


1.967 


60 


" 30 


0667 


0.833 


1.000 


1.167 


1.333 


1.500 


1.667 


1.833 


2.000 



14 



OF COMPUTING INTEREST. 





M D 


4£ 


5* 


G% 


V 


%% 


% 


10# 


11% 


12£ 


61 


2 1 


0.678 


0.847 


1.017 


1.186 


1.356 


1.525 


1.694 


1.864 


2.033 


62 


u 2 


0.689 


0.861 


1.033 


1.206 


1.378 


1.550 


1.722 


1.893 


2 067 


63 


" 3 


0.700 


0.875 


1.050 


1.225 


1.400 


1575 


1.750 


1925 


2.1C0 


64 


u 4 


0.711 


0.886 


1.067 


1244 


1-422 


1.600 


1.778 


1.950 


2.133 


65 


" 5 


0.722 


0.903 


1.083 


1.264 


1.444 


1.625 


1806 


1.986 


2.167 


66 


« 6 


0.733 


0.917 


1.100 


1.283 


1467 


1.650 


1.833 


2.017 


2.200 


67 


u 7 


0744 


0.931 


1.117 


1.303 


1.489 


1.675 


1.861 


2.056 


2.233 


68 


" 8 


0756 


0.944 


1.133 


1.322 


1.511 


1.700 


1.889 


2,078 


2 267 


69 


" 9 


0.767 


0.958 


1.150 


1.342 


1.533 


1.725 


1.917 


2.108 


2.300 


70 


" 10 


0.778 


0.972 


1.167 


1.361 


1.556 


1.750 


1944 


2.139 


2.333 


71 


" 11 


0.789 


0.986 


1.183 


1.381 


1.578 


1.775 


1.972 


2.169 


2.367 


72 


" 12 


0.800 


1.000 


1.200 


1.400 


1.600 


1.800 


2.000 


2.200 


2.400 


73 


" 13 


0.811 


1.014 


1.217 


1.419 


1.622 


1.825 


2.028 


2.231 


2.433 


74 


u 14 


0.822 


1.C28 


1.233 


1.439 


1.644 


1.850 


2.056 


2.261 


2 467 


73 


" 15 


833 


1.042 


1.230 


1.458 


1.667 


1.875 


2.083 


2.292 


2.500 


76 


" 16 


0.844 


1.056 


1.267 


1.478 


1.689 


1.900 


2111 


2322 


2.533 


77 


ii 17 


0.856 


1.069 


1.283 


1.497 


1.711 


1.925 


2.139 


2.353 


2.567 


78 


" 18 


0.867 


1.083 


1.300 


1.517 


1.733 


1.950 


2.167 


2.383 


2.600 


79 


" 19 


0.878 


1.097 


1.317 


1.536 


1.756 


1.975 


2.194 


2.414 


2.633 


80 


" 20 


0.889 


1.111 


1.333 


1.556 


1.778 


2.000 


2.222 


2.444 


2.667 


81 


l < 21 


900 


1.125 


1.350 


1.575 


1.800 


2.025 


2.250 


2.475 


2.700 


82 


" 22 


0.911 


1.139 


1.367 


1.595 


1.822 


2.050 


2.278 


2.506 


2.733 


83 


" 23 


0.922 


1.153 


1.383 


1.614 


1.844 


2.075 


2.306 


2536 


2.767 


84 


" 24 


0.933 


1.167 


1.400 


1.633 


1.867 


2.100 


2.333 


2.567 


2.800 


85 


" 25 


0.944 


1.181 


1.417 


1.653 


1.889 


2.125 


2 361 


2.597 


2.833 


86 


" 26 


0.956 


1.194 


1.433 


1.672 


1.911 


2.150 


2389 


2.628 


2 867 


87 


" 27 


0.967 


1.208 


1.450 


1.692 


1.933 


2.175 


2.417 


2.658 


2.900 


88 


" 28 


0.978 


1.222 


1.467 


1.711 


1.956 


2.200 


2.444 


2.689 


2.933 


89 


" 29 


0.989 


1.236 


1.483 


1.731 


1.978 


2.225 


2.472 


2.719 


2.967 


90 


" 30 


1.000 


1.250 


1.500 


1.750 


2.000 


2.250 


2.500 


2.750 


3.000 



15 



beatty's short method 





M D 


H 


Wo 


6% 


7£ 


8% 


H 


10* 


11* 


12* 


91 


3 1 


1.011 


1.264 


1.517 


1.769 


2.022 


2.275 


2 528 


2.781 


3.033 


92 


" 2 


1.022 


1.278 


1.533 


1.789 


2.044 


2.300 


2 556 


2 811 


3.067 


93 


" 3 


1.033 


1.292 


1550 


1808 


2.067 


2.325 


2.583 


2.842 


3.100 


94 


" 4 


1.044 


1.306 


1.567 


1828 


2.089 


2.350 


2611 


2.872 


3.133 


95 


" 5 


1.056 


1.319 


1.583 


1.847 


2.111 


2 375 


2639 


2.902 


3 167 


96 


" 6 


1.067 


1333 


1.600 


1867 


2133 


2.400 


2.667 


2.933 


3.200 


97 


" 7 


1.078 


1.347 


1617 


1.886 


2.156 


2425 


2.694 


2.964 


3.233 


98 


" 8 


1.089 


1.361 


1.633 


1.906 


2.178 


2.450 


2.722 


2.994 


3.267 


99 


" 9 


1.100 


1.375 


1.650 


1.925 


2 200 


2.475 


2.750 


3 025 


3.300 


100 


" 10 


1.111 


1.389 


1.667 


1.914 


2.222 


2 500 


2.778 


3.056 


3 333 


101 


" 11 


1.122 


1.403 


1.683 


1964 


2244 


2 525 


2.806 


3.086 


3.367 


102 


" 12 


1.133 


1.417 


1.700 


1983 


2267 


2 550 


2833 


3.117 


3.400 


103 


" 13 


1.144 


1.431 


1.717 


2,003 


2.289 


2 575 


2 861 


3.147 


3433 


104 


" 14 


1.156 


1.444 


1.733 


2.023 


2.311 


2.600 


2 889 


3.178 


3.467 


105 


" 15 


1.167 


1.458 


1.750 


2 042 


2.333 


2.625 


2917 


3 208 


3.500 


106 


" 16 


1.178 


1.472 


1.767 


2.061 


2 356 


2 650 


2.944 


3.239 


3.533 


107 


" 17 


1.189 


1.486 


1.783 


2.081 


2.378 


2.675 


2.972 


3.269 


3.567 


108 


" 18 


1.200 


1.500 


1.800 


2.100 


2.400 


2.700 


3.000 


3.300 


3.600 


109 


" 19 


1.211 


1.514 


1.817 


2.119 


2.422 


2.725 


3.028 


3.331 


3.633 


110 


u 20 


1.222 


1.528 


1.833 


2.139 


2.444 


2.750 


3.056 


3.361 


3.667 


111 


" 21 


1.233 


1.542 


1.850 


2.158 


2.467 


2.775 


3.083 


3392 


3.700 


112 


" 22 


1.244 


1.556 


1.867 


2.178 


2.489 


2.800 


3.111 


3.422 


3.733 


113 


" 23 


1.256 


1.569 


1.883 


2.197 


2.511 


2.825 


3.139 


3.453 


3767 


114 


l< 24 


1267 


1.583 


1.900 


2.217 


2.533 


2 850 


3.167 


3.483 


6800 


115 


" 25 


1.278 


1.597 


1.917 


2.236 


2.556 


2875 


3.194 


3.514 


3 833 


116 


u 26 


1.289 


1.611 


1.933 


2 256 


2.578 


2.900 


3.222 


3544 


3.867 


117 


" 27 


1.300 


1625 


1.950 


2.275 


2.600 


2.925 


3.250 


3.575 


3.900 


118 


" 28 


1.311 


1.639 


1.967 


2.295 


2.622 


2.950 


3.278 


3.606 


3.933 


119 


" 29 


1.322 


1.653 


1.983 


2.314 


2.644 


2 975 


3306 


3.636 


3967 


120 


'« 30 


1.333 


1.667 


2.000 


2 333 


2 667 


3 000 


3 333 


3 667 


4 000- 



16 



OF COMPUTING INTEREST. 





M D 


H 


5* 


6* 


7* 


$% 


Wo 


10£ 


life 


12# 


121 


4 1 


1.344 


1.681 


2.017 


2.353 


2.689 


3.025 


3 361 


3.697 


4.033 


JOO 


•' 2 


1.356 


1.694 


2 033 


2.372 


2.711 


3.050 


3 3S9 


3.728 


4 067 


123 


" 3 


1.367 


1.708 


2.050 


2,392 


2.733 


3075 


3.417 


3.758 


4.1C0 


124 


m 4 


1.378 


1.722 


2.067 


2.411 


2.756 


3100 


3444 


3.789 


4.133 


125 


" 5 


1.389 


1.736 


2.083 


2.431 


2.778 


3.125 


3.472 


3.819 


4.167 


126 


" 6 


1.400 


1.750 


2.100 


2.450 


2 800 


3.150 


3.500 


3 850 


4.200 


127 


" 7 


1.411 


1.764 


2.117 


2.469 


2.822 


3.175 


3 528 


3.881 


4.233 


128 


" 8 


1.422 


1.778 


2.133 


2.489 


2.814 


3.200 


3556 


3.911 


4 267. 


129 


11 9 


1.433 


1.792 


2150 


2.508 


2.867 


3.225 


6.583 


3 942 


4.300 


130 


" 10 


1.444 


1806 


2167 


2.528 


2.889 


3250 


3.611 


3.972 


4.333 


131 


" 11 


1456 


1.819 


2.183 


2 547 


2.911 


3 275 


3 639 


4 003 


4.367 


132 


M 12 


1.467 


1833 


2.200 


2,567 


2.933 


3.300 


3.667 


4.033 


4.400 


133 


u 13 


1.478 


1.847 


2217 


2.586 


2956 


3.325 


3.694 


4.064 


4.433 


134 


* 14 


1.489 


1.861 


2.233 


2.606 


2.d"S 


3 350 


3.722 


4.094 


4.467 


133 


" 15 


1.500 


1.875 


2.230 


2.625 


3.000 


3375 


3.750 


4125 


4.500 


136 


" 16 


1.511 


1.889 


2.267 


2.645 


3.022 


3400 


3.778 


4.156 


4.533 


137 


k 17 


1.523 


1.903 


2 283 


2.664 


3.044 


3 425 


3 806 


4186 


4.567 


138 


" 18 


1.533 


1.917 


2 300 


2.683 


3.067 


3.450 


3833 


4.217 


4.600 


139 


M 19 


1.544 


1.931 


2 317 


2.703 


3.089 


3475 


3 861 


4.247 


4.633 


140 


11 20 


1.556 


1.944 


2.333 


2.722 


3.111 


3.500 


3,889 


4.278 


4.667 


141 


11 21 


1.567 


1958 


2.350 


2742 


3.133 


3.525 


3.917 


4.308 


4.700 


142 


« 22 


1.578 


1.972 


2367 


2.761 


3.156 


3.550 


3 944 


4339 


4.733 


143 


" 23 


1.589 


1.986 


2 383 


2.781 


3.178 


3.575 


3.972 


4.369 


4.767 


144 


" 24 


1.600 


2.000 


2.400 


2.800 


3.200 


3.600 


4.000 


4.400 


4.800 


145 


14 25 


1.611 


2.014 


2.417 


2.820 


3.222 


3.625 


4.028 


4.431 


4.833 


146 


" 26 


1.622 


2.028 


2.433 


2.839 


3.244 


3.650 


4 056 


4.461 


4.867 


147 


- 27 


1.633 


2.042 


2.450 


2.858 


3.267 


3.675 


4083 


4.492 


4.900 


148 


u 28 


1.644 


2.036 


2.467 


2.878 


3.289 


3.700 


4111 


4 522 


4.933 


149 


11 29 


1.656 


2.069 


2.483 


2 897 


3.311 


3.725 


4.139 


4.553 


4 967 


150 


" 30 


1.667 


2.083 


2,500 


2 917 


3.333 


3.750 


4.167 


4.583 


5.000 



17 



BEATTYS SHORT METHOD 





M D 


H 


5* 


6* 


V 


s% 


9* 


10* 


11* 


12* 


151 


5 1 


1.678 


2.097 


2.517 


2936 


3.356 


3.775 


4.194 


4.614 


5.033 


152 


" 2 


1.689 


2.111 


2.533 


2 956 


3378 


3.800 


4.222 


4.644 


5.067 


153 


" 3 


1.700 


2.125 


2.550 


2 975 


3.400 


3 825 


4.250 


4.675 


5.100 


154 


u 4 


1.711 


2.139 


2.567 


2.994 


3.422 


3850 


4.278 


4.706 


5.133 


155 


" 5 


1.722 


2.153 


2.583 


3 014 


3.444 


3.875 


4.306 


4.736 


5 167 


156 


" 6 


1.733 


2.167 


2 600 


3.033 


3.467 


3.900 


4.333 


4.767 


5 200 


157 


« 7 


1.744 


2.181 


2.617 


3.053 


3.489 


3 925 


4.361 


4.797 


5.233 


158 


" 8 


1.756 


2.194 


2.633 


3.072 


3.511 


3950 


4.389 


4.822 


5.267 


159 


" 9 


1.767 


2 208 


2.630 


3.092 


3 533 


3 975 


4.417 


4.858 


5.300 


160 


" 10 


1.778 


2222 


2.667 


3.111 


3 556 


4 000 


4.444 


4.889 


5333 


161 


" 11 


1.789 


2.236 


2.6S3 


3.131 


3.578 


4.025 


4.472 


4.919 


5.367 


162 


" 12 


1800 


2.250 


2.700 


3.150 


3600 


4050 


4.500 


4 950 


5.400 


163 


" 13 


1.811 


2264 


2717 


3.169 


3 622 


4 075 


4528 


4.981 


5433 


164 


" 14 


1.822 


2.278 


2.733 


3.189 


3.644 


4.100 


4 556 


5011 


5 467 


165 


" 15 


1.833 


2.292 


2.750 


3 208 


3.667 


4125 


4.583 


5.042 


5.500 


m 


" 16 


1844 


2.306 


2.767 


3.228 


3.689 


4.150 


4611 


5072 


5.533 


167 


« 17 


1856 


2.319 


2783 


3.247 


3.711 


4.175 


4 639 


5.103 


5.567 


168 


u 18 


1.867 


2333 


2.800 


3 267 


3.733 


4 200 


4.667 


5.133 


5.600 


169 


u 19 


1.878 


2.347 


2.817 


3.286 


3.756 


4.225 


4.694 


5.164 


5.633 


170 


M 20 


1.889 


2.361 


2.833 


3.306 


3.778 


4.250 


4.722 


5.194 


5667 


171 


" 21 


1.900 


2.375 


2.850 


3.325 


3.800 


4.275 


4.750 


5 225 


5.700 


172 


u 22 


1.911 


2.389 


2.867 


3.344 


3822 


4.300 


4.778 


5256 


5.733 


173 


" 23 


1.922 


2:403 


2.883 


3.364 


3.844 


4325 


4.806 


5 286 


5767 


174 


14 24 


1.933 


2 417 


2.900 


3 383 


3.867 


4.350 


4833 


5.317 


5 800 


175 


M 25 


1.944 


2.431 


2.917 


3.403 


3.889 


4375 


4 861 


5 347 


5 833 


176 


" 26 


1956 


2.444 


2933 


3.422 


3.911 


4 400 


4 889 


5.378 


5.867 


177 


" 27 


1967 


2.458 


2950 


3.412 


3.933 


4.425 


4.917 


5 408 


5 900 


178 


41 28 


1.978 


2 472 


2.967 


3.461 


3.956 


4.450 


4944 


5.439 


5.933 


179 


11 29 


1.989 


2.486 


2.983 


3.481 


3.978 


4.475 


4.972 


5.469 


5967 


180 


" 30 


2.000 


2.500 


3.000 


3.500 


4.000 


4.500 


5 000 


5.500 


6000 



IS 



OF COMPUTING INTEREST. 





M D 


4£ 


5£ 


6£ 


7£ 


8£ 


W 


10* 


11* 


12* 


181 


6 1 


2.011 


2.514 


3.017 


3.519 


4.022 


4.525 


5 028 


5.531 


6.033 


182 


u 2 


2.022 


2.528 


3.033 


3539 


4.044 


4 550 


5 056 


5 561 


6.067 


183 


" 3 


2.033 


2.542 


3.050 


3 558 


4.067 


4575 


5.083 


5.592 


6.100 


184 


m 4 


2.044 


2.556 


3.067 


3 578 


4.089 


4.600 


5.111 


5 622 


6.133 


185 


" 5 


2.056 


2.569 


3.083 


3.597 


4.111 


4 625 


5139 


5.653 


6167 


186 


" 6 


2 067 


2583 


3.100 


3617 


4133 


4.650 


5.167 


5.683 


6 200 


187 


u 7 


2.078 


2.597 


3.117 


3.636 


4.156 


4 675 


5.194 


5.714 


6.233 


188 


" 8 


2.089 


2.611 


3.133 


3.656 


4.173 


4.700 


5.222 


5.744 


6.267 


189 


" 9 


2.100 


2.625 


3.150 


3.675 


4.200 


4.725 


5.250 


5775 


6.300 


190 


" 10 


2.111 


2.639 


3167 


3 694 


4.222 


4.750 


5.278 


5.806 


6 333 


191 


" 11 


2.122 


2.653 


3183 


3714 


4244 


4 775 


5 306 


5 836 


6 367 


192 


M 12 


2.133 


2.667 


3200 


3 733 


4 207 


4 800 


5 333 


5867 


6.400 


193 


M 13 


2.144 


2.681 


3 217 


3753 


4289 


4 825 


5 361 


5 897 


6 433 


194 


« 14 


2.156 


2.694 


3.233 


3.772 


4.311 


4 850 


5.3S9 


5928 


6 467 


195 


" 15 


2.167 


2.708 


3.250 


3.792 


4.333 


4 875 


5 417 


5 938 


6500 


196 


" 16 


2.178 


2.722 


3.267 


3.811 


4.356 


4 900 


5.444 


5 9S9 


6.533 


197 


« 17 


2.169 


2.736 


3283 


3.831 


4.378 


4925 


5472 


6.019 


6.567 


198 


u 18 


2.200 


2.750 


3.300 


3.850 


4.400 


4.950 


5500 


6.050 


6.600 


199 


" 19 


2.211 


2.764 


3.317 


3869 


4.422 


4.975 


5.52S 


6.081 


6.633 


200 


u 20 


2.222 


2.778 


3.333 


3.889 


4444 


5 000 


5556 


6.111 


6.667 


201 


11 21 


2.233 


2.792 


3.350 


3 903 


4.467 


5 025 


5.583 


6.142 


6.700 


202 


u 22 


2.244 


2.806 


3 367 


3.928 


4.489 


5.050 


5611 


6.172 


6.733 


203 


M 23 


2.256 


2.819 


3383 


3.947 


4.511 


5075 


5.639 


6 203 


6 767 


204 


* 24 


2.267 


2.833 


3.400 


3.966 


4.533 


5 100 


5.667 


6.233 


6800 


205 


11 25 


2.278 


2.847 


3.417 


3.986 


4.556 


5.125 


5 694 


6 264 


6 833 


206 


M 26 


2.289 


2.861 


3 433 


4006 


4.578 


5.150 


5722 


6.294 


6.867 


207 


M 27 


2.300 


2 875 


3450 


4 025 


4.600 


5.175 


5.750 


6325 


6 900 


208 


M 28 


2.311 


2.889 


3.467 


4.044 


4.622 


5.200 


5.778 


6.356 


6.933 


209 


" 29 


2.322 


2 903 


3.433 


4.064 


4 644 


5 225 


5.806 


6.386 


6.967 


210 


" 30 2.333 


2.917 


3.500 


4.083 


4.667 


5250 


5.833 


6.417 


1 7 000 



19 



BEATTYS SHORT METHOD 





M D 


H 


H 


H 


7£ 


8% 


9% 


m 


lit 


12£ 


211 


7 1 


2.344 


2.931 


3.517 


4103 


4.689 


5.275 


5 861 


6.447 


7.033 


212 


•' 2 


2.356 


2.944 


3533 


4.122 


4.711 


5.300 


5 839 


6.478 


7 067 


213 


" 3 


2.367 


2.958 


3550 


4.142 


4.733 


5 325 


5.917 


6508 


7.100 


214 


u 4 


2.378 


2.972 


3.567 


4.161 


4.756 


5 350 


5.944 


6 539 


7.133 


215 


" 5 


2.389 


2.986 


3.583 


4.181 


4.778 


5.375 


5972 


6.569 


7.167 


216 


" 6 


2.400 


3.000 


3.600 


4.200 


4 800 


5.400 


6.000 


6.600 


7.200 


217 


u 7 


2.411 


3 014 


3.617 


4.219 


4.822 


5.425 


6.028 


6.631 


7 233 


218 


" 8 


2.422 


3 028 


3633 


4.239 


4.844 


5.450 


6.056 


6.661 


7 267 


219 


« 9 


2.433 


3.042 


3650 


4.258 


4 867 


5.475 


6.083 


6.692 


7.300 


220 


" 10 


2.444 


3056 


3667 


4.278 


4 8S9 


5.500 


6.111 


6.722 


7.333 


221 


M 11 


2456 


3.069 


3.683 


4 297 


4911 


5525 


6.139 


6753 


7.367 


222 


" 12 


2.467 


3 083 


3.700 


4.317 


4.933 


5.550 


6.167 


6.783 


7.400 


223 


" 13 


2.478 


P.097 


3.717 


4.336 


4 956 


5.575 


6194 


6.814 


7.433 


224 


x 14 


2.489 


3.111 


3.733 


4.356 


4.978 


5 600 


6.222 


6844 


7.467 


225 


11 15 


2.500 


3125 


3.750 


4.375 


5.000 


5.625 


6.250 


6.875 


7.500 


226 


" 16 


2.511 


3.139 


3.767 


4.394 


5.022 


5650 


6278 


6 906 


7.533 


227 


a 17 


2.522 


3.153 


3783 


4.414 


5.044 


5 675 


6 306 


6 936 


7.567 


228 


" 18 


2.533 


3.167 


3 800 


4.433 


5.067 


5.700 


6333 


6.967 


7.600 


229 


11 19 


2.544 


3.181 


3 817 


4.453 


5.089 


5.725 


6361 


6.997 


7.633 


230 


" 20 


2.556 


3.194 


3 833 


4.472 


5.111 


5.750 


6.389 


7.028 


7.667 


231 


' 21 


2.567 


3.20S 


3.850 


4 492 


5133 


5.775 


6.417 


7.058 


7.700 


232 


" 22 


2.578 


3.222 


3.867 


4511 


5.156 


5800 


6 444 


7.089 


7.733 


233 


" 23 


2.589 


3.236 


3 883 


4.531 


5.178 


5.825 


6.472 


7.119 


7.767 


231 


" 24 


2.600 


3.250 


3 900 


4.550 


5.200 


5.850 


6.500 


7.150 


7.800 


235 


14 25 


2.611 


3.264 


3917 


4.569 


5222 


5.875 


6.528 


7.181 


7.833 


236 


" 26 


2.622 


3.278 


3.933 


4 589 


5.244 


5.900 


6.556 


7.211 


7.867 


237 


u 27 


2.633 


3 292 


3.950 


4 608 


5267 


5 925 


6.583 


7.242 


7900 


238 


" 28 


2.644 


3306 


3 967 


4.628 


5.289 


5950 


6611 


7272 


7.933 


239 


u 29 


2.656 


3.319 


3.983 


4647 


5.311 


5975 


6.639 


7303 


7.967 


240 


" 30 


2667 


3.333 


4000 


4 667 


5.333 


6.000 


6.667 


7.333 


8.000 



20 









OF 


COMPUTING INTEREST 


• 








M D 


H 


5£ 


H 


7* 


H 


% 


10£ 


11* 


12* 


241 


8 1 


2 678 


3.347 


4.017 


4.686 


5.356 


6.025 


6694 


7.364 


8.033 


242 


" 2 


2.689 


3.361 


4 033 


4.706 


5.378 


6.050 


6.722 


7.394 


8067 


243 


" 3 


2.700 


3.375 


4 050 


4.725 


5.400 


6.075 


6.750 


7425 


8.100 


244 


« 4 


2.711 


3.3S9 


4067 


4 741 


5-422 


6.100 


6778 


7.456 


8.133 


245 


" 5 


2.722 


3.403 


4.083 


4.767 


5.444 


6.125 


6 806 


7486 


8.167 


246 


" 6 


2.733 


3.417 


4.100 


4 783 


5.467 


6.150 


6833 


7.517 


8.200 


247 


" 7 


2.744 


3.431 


4.117 


4.803 


5.489 


6.175 


6.861 


7.547 


8.23B 


243 


" 8 


2.756 


3.444 


4.133 


4.822 


5.511 


6.200 


6.889 


7.578 


8 267 


249 


" 9 


2 767 


3.458 


4150 


4.842 


5.533 


6 225 


6.917 


7.608 


8.300 


250 


" 10 


2.778 


3.472 


4.167 


4.861 


5.556 


6.250 


6 944 


7639 


8.333 


251 


u 11 


2.789 


3.486 


4.183 


4.831 


5.578 


6275 


6.972 


7.669 


8.367 


252 


" 12 


2 800 


3.500 


4.200 


4.900 


5.600 


6.30O 


7.000 


7.700 


8.400 


253 


" 13 


2.811 


3.514 


4.217 


4.919 


5.622 


6 325 


7.028 


7.731 


8.433 


251 


u 14 


2 822 


3.528 


4.233 


4.939 


5.644 


6.350 


7.056 


7.761 


8 467 


255 


" 15 


2.833 


3.542 


4.250 


4 958 


5.667 


6.375 


7.083 


7.792 


8.500 


256 


M 16 


2.844 


3.5",6 


4.267 


4 978 


5.689 


6.400 


7111 


7 822 


8.533 


257 


u 17 


2856 


3.569 


4.283 


4.997 


5.711 


6.425 


7.139 


7.853 


8.567 


258 


" 18 


2.867 


3.583 


4 300 


5.017 


5.733 


6.450 


7.167 


7.883 


8.600 


259 


" 19 


2.878 


3.597 


4317 


5.036 


5.756 


6.475 


7.194 


7.914 


8.633 


260 


" 20 


2.8S9 


3.611 


4.333 


5.056 


5.778 


6.500 


7.222 


7.944 


8.667 


261 


« 21 


2.900 


3.625 


4.350 


5.075 


5.800 


6.525 


7.250 


7 975 


8.700 


262 


« 22 


2.911 


3.639 


4.367 


5.094 


5.822 


6.550 


7.278 


8.006 


8.733 


263 


" 23 


2.922 


3 653 


4.383 


5.114 j 5.844 


6.575 


7.306 


8.036 


8.767 


264 


l< 24 


2.933 


3.667 


4.400 


5.133 


5.867 


6.600 


7.333 


8.067 


8.800 


265 


* 25 


2.944 


3.681 


4.417 


5.153 


5.8S9 


6.625 


7361 


8.097 


8.833 


266 


- 26 


2.956 


3.694 


4.433 


5.172 


5.911 


6650 


7.389 


8.128 


8 867 


267 


M 27 


2967 


3.708 


4.450 


5.192 


5.933 


6.675 


7.417 


8.158 


8.900 


268 


" 28 


2.978 


3.722 


4.467 


5.211 


5.956 


6.700 


7.444 


8.189 


8.933 


269 


" 29 


2.989 


3.736 


4.483 


5.231 


5.978 


6.725 


7.472 


8.219 


8.967 


270 


" 30 


3.000 


3.750 


4.500 


5.250 


6.000 


6.750 


7.500 


8.250 


9.000 



21 



beatty's short method 





M D 


H 


o% 


H 


7£ 


$% 


H 


10£ 


11£ 


12* 


271 


9 1 


3.011 


3.764 


4.517 


5.269 


6.022 


6.775 


7.528 


8.281 


9033 


272 


* 2 


3.022 


3.778 


4.533 


5.289 


6.044 


6.800 


7556 


8311 


9.067 


273 


" 3 


3.033 


3.792 


4.550 


5 308 


6.067 


6 825 


7.583 


8.342 


9.100 


274 


m 4 


3.044 


3.806 


4.567 


5 323 


6.089 


6.850 


7 611 


8 372 


9.133 


275 


M 5 


3.056 


3.819 


4.583 


5.347 


6.111 


6.875 


7 639 


8.403 


9 167 


276 


" 6 


3.067 


3833 


4 6.0 


5 367 


6133 


6.900 


7.669 


8.433 


9 200 


277 


u 7 


3.078 


3.847 


4.617 


5.386 


6156 


6 925 


7.694 


8.464 


9.233 


278 


« 8 


3.089 


3 861 


4.633 


5.406 


6.178 


6-950 


7.722 


8.494 


9.267 


279 


« 9 


3100 


3.875 


4.650 


5.425 


6 200 


6 975 


7.750 


8525 


9.300 


280 


" 10 


3.111 


3.889 


4667 


5 444 


6222 


7.000 


7.778 


8.556 


9.333 


281 


" 11 


3122 


3 903 


4.683 


5.464 


6.244 


7.025 


7.806 


8.586 


9.367 


282 


" 12 


3.133 


3.917 


4.700 


5 483 


6.2G7 


7.050 


7 833 


8.617 


9.400 


283 


" 13 


3.144 


3.931 


4 717 


5.503 


6.289 


7 075 


7 861 


8.647 


9433 


284 


ii 14 


3156 


3.944 


4.733 


5.522 


6.311 


7.100 


7 889 


8.G78 


9 467 


285 


" 15 


3.167 


3 958 


4.750 


5.512 


6 333 


7.125 


7 917 


8.703 


9500 


286 


" 16 


3.178 


3 972 


4.767 


5.561 


6 356 


7.150 


7944 


8.739 


9.533 


287 


u 17 


3.189 


3986 


4.783 


5.581 


6.378 


7.175 


7.972 


8.769 


9.567 


288 


" 18 


3.200 


4.000 


4.800 


5.600 


6.400 


7 200 


8.000 


8 31)0 


9.600 


289 


" 19 


3.211 


4.014 


4.817 


5.619 


6.422 


7.225 


8.02S 


8.831 


9.633 


290 


M 20 


3.222 


4.028 


4.833 


5.639 


6.444 


7.250 


8.056 


8.861 


9.667 


291 


" 21 


3.233 


4.042 


4.850 


5 658 


6.467 


7.275 


8.083 


8 892 


9.700 


292 


>< 22 


3.244 


4.056 


4.867 


5.678 


6.4S9 


7 300 


8.111 


8.922 


9733 


293 


" 23 


3.256 


4.069 


4.883 


5 697 


6.511 


7 325 


8.139 


8.951 


9767 


291 


'« 24 


3267 


4.083 


4.900 


5.717 


6.533 


7.350 


8.167 


8.984 


9 800 


295 


•' 25 


3.278 


4.097 


4.917 


5.736 


6556 


7 375 


8194 


9 014 


9 833 


296 


M 26 


3.289 


4.111 


4933 


5.756 


6.578 


7.400 


8.222 


9.044 


9.867 


297 


M 27 


3.300 


4125 


4950 


5 775 


6.600 


7.425 


8250 


9 075 


9 900 


298 


'■ 28 


3311 


4.139 


4.967 


5.794 


6.622 


7.450 


8 278 


9.106 


9933 


299 


11 29 


3.322 


4.153 


4.983 


5.814 


6.644 


7475 


8.306 


9136 


9.967 


300 


11 30 


3 333 


4.167 


5.000 | 5.833 


6 667 


7.500 


8 333 


9167 


10 000 












25 













OF COMPUTING INTEREST. 





M D 


4£ 


w 


H 


7£ 


$% 


9% 


10£ 


11* 


12* 


301 


10 1 


3.344 


4181 


5.017 


5.853 


6 6S9 


7.525 


8361 


9197 


10.033 


302 


' 2 


3.356 


4194 


5.033 


5.872 


6.711 


7.550 


8.3S9 


9.228 


10 067 


303 


' 3 


3.367 


4.208 


5050 


5.S92 


6.733 


7 575 


8.417 


9258 


10.1C0 


304 


" 4 


3 378 


4.222 


5.0G7 


5 911 


6.756 


7.600 


8 444 


9.289 


10.133 


305 


" 5 


3389 


4.236 


5.083 


5 931 


6 778 


7 625 


8.472 


9.319 


10.167 


306 


« 6 


3.400 


4.250 


5.100 


5.950 


6 800 


7650 


8.500 


9 350 


10.200 


307 


u 7 


3.411 


4 264 


5.117 


5.969 


6.822 


7.675 


8 528 


9.381 


10.233 


308 


" 8 


3.422 


4 278 


5.133 


5.989 


6.844 


7.700 


8.556 


9.411 


10.267 


309 


* 9 


3.433 


4292 


5.150 


£008 


6 867 


7.725 


8.583 


9.442 


10.300 


310 


M 10 


3444 


4 306 


5.167 


6.028 


6 8S9 


7.750 


8.611 


9.472 


10.333 


311 


" 11 


3 456 


4.319 


5.183 


6047 


6911 


7.775 


8 639 


9 503 


10.367 


312 


* 12 


3.467 


4 333 


5.200 


6.067 


6.933 


7.800 


8.667 


9.533 


10.400 


313 


u 13 


3478 


4.347 


5217 


6.086 


6.956 


7 825 


8694 


9.564 


10.433 


314 


.« 14 


3.489 


4.361 


5.233 


6.106 


6.978 


7.850 


8.722 


9.594 


10.467 


315 


M 15 


3.500 


4.375 


5.250 


6.125 


7.000 


7.875 


8.750 


9 625 


10.500 


316 


" 16 


3.511 


4.389 


5.267 


6.144 


7.022 


7 900 


8.778 


9 656 


10.533 


317 


u 17 


3.522 


4.403 


5.283 


6.164 


7.044 


7.925 


8 806 


9686 


10.567 


318 


M 18 


3.533 


4.417 


5 300 


6.183 


7.067 


7 950 


8.833 


9.714 


10.600 


319 


" 19 


3.544 


4.431 


5317 


6 203 


7.089 


7.975 


8.861 


9.747 


10.633 


320 


14 20 


3.556 


4.444 


5.333 


6.222 


7.111 


8.010 


8.889 


9.778 


10.667 


321 


« 21 


3.567 


4 458 


5.350 


6 242 


7.133 


8.025 


8.917 


9.808 


10.700 


322 


" 22 


3.578 


4.472 


5.367 


6.261 


7.156 


8050 


8944 


9 839 


10.733 


323 


" 23 


3.589 


4.486 


5383 


6.281 


7.178 


8.075 


8.972 


9869 


10.767 


324 


" 24 


3.600 


4 500 


5400 


6.300 


7.200 


8.100 


9.000 


9900 


10.800 


325 


u 25 


3.611 


4.514 


5.417 


6.319 


7.222 


8.125 


9.028 


9.931 


10.833 


326 


u 26 


3.622 


4.528 


5.433 


6 339 


7.244 


8.150 


9056 


9.961 


10.867 


327 


M 27 


3633 


4 542 


5.450 


6.358 


7.267 


8 175 


9.083 


9.992 


10 900 


328 


•« 28 


3.644 


4 556 


5467 


6378 


7.289 


8.200 


9111 


10.022 


10.933 


329 


" 29 


3.656 


4.569 


5.483 


6 397 


7.311 


8 225 


9.139 


10.053 


10.967 


330 


H 30 


3 667 


4.583 


5 500 


6 416 


7.333 


8.250 


9.167 


10.081 


11.000 



23 



BEATTYS SHORT METHOD 





M D 


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6% 


7* 


8% 


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10£ 


11* 


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331 


11 1 


3.678 


4.597 


5.517 


6 436 


7.356 


8 275 


9.194 


10.114 


11.033 


332 


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3.689 


4.611 


5.533 


6.456 


7.378 


8300 


9.222 


10.144 


11.067 


333 


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3.700 


4.625 


5.550 


6.475 


7.400 


8.325 


9.250 


10.175 


11.100 


334 


u 4 


3.711 


4.639 


5.567 


6.494 


7.422 


8 350 


9.278 


10.200 


11.133 


335 


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3722 


4.653 


5.583 


6514 


7.444 


8 375 


9.306 


10.236 


11.167 


336 


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3.733 


4.667 


5.6C0 


6.533 


7 467 


8 400 


9.333 


10.267 


11.200 


337 


" 7 


3.744 


4.681 


5.617 


6 553 


7.489 


8 425 


9361 


10.297 


11.233 


338 


" 8 


3.756 


4.694 


5.633 


6.572 


7.511 


8.450 


9.389 


10.328 


11.267 


339 


" 9 


3.767 


4 708 


5.650 


6 592 


7 533 


8475 


9.417 


10 358 


11.300 


340 


" 10 


3.778 


4.722 


5 667 


6.611 


7.556 


8.500 


9.444 


10 389 


11.333 


341 


" 11 


3.789 


4.736 


5.683 


6.631 


7.578 


8.525 


9.472 


10.417 


11.367 


342 


11 12 


3.800 


4.750 


5.700 


6 650 


7 600 


8.550 


9500 


10.450 


11.400 


343 


" 13 


3.811 


4.764 


5.717 


6.669 


7 622 


8.575 


9 528 


10.481 


11.433 


344 


'« 14 


3.822 


4.778 


5.733 


6.689 


7.644 


8 600 


9 556 


10.511 


11467 


345 


11 15 


3 833 


4.792 


5.750 


6.708 


7.667 


8 625 


9.583 


10542 


11.500 


346 


" 16 


3.844 


4.806 


5.767 


6.72S 


7.689 


8.650 


9 611 


10.572 


11.533 


347 


i« 17 


3.856 


4.819 


5.783 


6.747 


7.711 


8.675 


9.639 


10.603 


11.567 


348 


" 18 


3867 


4.833 


5.800 


6 767 


7.733 


8.700 


9.667 


10.633 


11.600 


349 


" 19 


3.878 


4.847 


5817 


6.786 


7.756 


8.725 


9.694 


10.664 


11.633 


350 


" 20 


3.889 


4 861 


5.833 


6 805 


7.778 


8 750 


9.722 


10.694 


11.667 


351 


" 21 


3900 


4.875 


5.850 


6.825 


7.800 


8.775 


9.750 


10.725 


11.700 


352 


" 22 


3.911 


4.889 


5.867 


6844 


7.822 


8 800 


9.778 


10.756 


11.733 


353 


" 23 


3.922 


4903 


5.883 


6.864 


7.844 


8.825 


9.806 


10786 


11.767 


354 


" 24 


3933 


4.917 


5 900 


6 883 


7.867 


8.850 


9833 


10.817 


11800 


355 


" 25 


3.944 


4931 


5.917 


6903 


7.889 


8.875 


9 861 


10.847 


11.833 


356 


" 26 


3.956 


4.944 


5.933 


6.922 


7.911 


8.900 


9 889 


10878 


11.867 


357 


" 27 


3967 


4.958 


5 950 


6.942 


7.933 


8.925 


9 917 


10.908 


11900 


358 


" 28 


3.978 


4 972 


5.967 


6 961 


7.956 


8.950 


9944 


10.939 


11.933 


359 


11 29 


3.989 


4.986 


5.983 


6.981 


7.978 


8.975 


9.972 


10.969 


11.967 


360 


" 30| 4.000 


5.000 


6.000 


7 000 


8.0C0 


9.000 


10000 


11000 


12 000 



24 



OF COMPUTING INTEREST. 



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26 



OF COMPUTING INTEREST. 27 



Examples, 



Find the interest on the following sums, for the time given 
at b%. 

$400.50 for 3 years. Answer, $60,075 

$250.00 for 2 years, 6 months. Answer, $31.25 

$1200.25 for 1 year, 8 months, 12 days. Answer, $102.02 

$1500.00 for 2 years, 4 months, 6 days. Answer, $176.25 

$900.90 for 1 year, 1 month, 14 days. Answer, $50 55 

On the following, at 6 per cent: 

$666.00 for 7 months, 26 days. Answer, $26,196 

$1200 24 for 1 year, 6 months, 18 days. Answer, $111.62 

$975.18 for 3 years, 3 months, 6 days. Answer, $191,135 



28 beatty's short method 

$579.75 for 1 year, 10 months, 20 days. Answer, $65,705 
$825.50 for 2 years, 3 months, 24 days. Answer, $114.74 
On the following at 7 per cent: 

$2127.40 for 1 year, 7 months, 18 days. Answer, $243.23 
$500.28 for 2 years, 3 months, 27 days. Answer, $8142 
$1328.28 for 1 year, 8 months, 12 days. Answer, $158 065 
$412.20 for 1 year, 2 months, 1 day. Answer, $33.74 
$950.40 for 2 years, 3 months, 11 days. Answer, $151.72 
$563.00 for 4 years, 2 months, 3 days. Answer, $164536 
On the following at 8 per cent: 

$2640.15 for 1 year, 2 months, 27 days. Answer, $262.25 
$850.82 for 2 years, 3 months, 3 days. Answer, $153.62 
$1225.00 for 1 year, 9 months, 9 days. Answer, $173.95 
$780.50 for 11 months, 18 days. Answer, $60,358 
$656.70 for 1 year, 3 months, 27 days. Answer, $69.61 
On the following, at 9 per cent: 

$567.27 for 1 year, 10 months, 3 days. Answer, $94,025 
$933.25 for 2 years, 2 months, 12 days. Answer, $184 78 
$1221.06 for 1 year, 1 month, 27 days. Answer, $127,295 
$2187.00 tor 2 years, 2 months, 2 days. Answer, $427,558 
On the following, at 3}£ per cent: 

$648.00 for 3 years, 3 months, 5 days. Answer, $74,025 
$550.80 for 1 year, 8 months, 11 days. Answer, $32,719 



OF COMPUTING INTEREST. 29 

$875.12 for 2 years, 4 months, 24 days. Answer, $73.51 

What is the interest on $250.50 for 8 months at 3% per cent? 

What is the interest on $885 00 for 10 months and 9 days, at 

A% percent? Answei $34.18 

What is the interest on $1050.00 for 1 year, 2 months, 20 
days, at 5% per cent.? 

What is the interest on $650 00 for 1 year, 6 months, and 22| 
days, at 8 per cent? Answer, $81.25 

What is the interest on $750.50 for 1 year, 7 months and 19J 
days at 8 per cent.? Answer, $98.31 

What is the interest on $80 50 for 1 year and 10 months at 
11 per cent.? 

What is the interest on a note for $525.25 at 7 per cent, 8 
months after date? Answer $24 51 

How much is the principal and interest on a note for $1575.50, 
1 year, G months, and 20 days after date, at 5 per cent, interest? 

Bought a farm for $9000.00, one-third cash and balance in 
three equal annual payments. Interest to be paid annually at 
6J.# How much interest each year, and how much altogether? 

Bought 3,000 bushels of corn at .45 per bushel. Paid half 
cash and the balance in 9 months with 5 per cent, interest. How 
much was due in 9 months and hovv much in all? 

A has $10150 .00 to lend for 2 years, 6 months and 18 days. 
B borrows one-half at 7 J per cent, C takes the balance for the 
same time at 7 per cent. How much interest did each pay when 
due? 



Answer \ B $ 9 ' - 59 
Answer, ^ c 905 g 87 



30 beatty's short method 

Bought a stock of goods for $24624.00 to be closed out in 18 
months. Borrowed $12624.00 for 9 months and $12000.00 for 1 
year and 6 months, at 6 per cent. Sold the goods at 20 per cent* 
profit and pay $500 per year for rent, and 4J per cent, to salesman 
on gross sales. How much do I make in the transaction? 



Condensed Tenths. 



In this manner of counting interest we condense the tenths. 

All interest is counted and carried to the left by tens, and we 
adopt the following plan in order to get divisors for the different 
rates per cent. Divide 36 by the rate per cent, and that will give 
us a divisor to divide the time or the principal. At 4$ it takes 9 
days before we gain ^ of a unit. 

At 5% it takes 11 days. 
At 6$ it takes 6 days. 
At 1% it takes 5| days. 
At 8% it takes 4£ days. 
At 9% it. takes 4 days. 
At 10£ it takes 3 T % days. 
At 11# it takes 3^ days. 
At 12£ it takes 3 days. 

31 



beatty's short method 



36 being one-tenth of 360 days, divide 36 by the rate per cent, 
and take the quotient as a divisor, for the time reduced to dayi 
Multiply this by the principal and the result will be the interest,* 
or divide the principal and multiply by the time. We can divide 
either the time or the principal, but in either case the quotient 
must be multiplied by the other factor, as we already have the 
the tenths condensed and have the rate per cent, in the divisor. 

For 5£ 7& 10^ and \\% it is best to divide the entire time or 
principal by 36 and then multiply by the rate per cent., as it is 
difficult to handle these small fractions as divisors. 

Example 1. Find the interest on $210.00 for G months at 8%. 
6 monthsr= 180 days. 

8 )36 00 o 10 

4.5 )180 M 

40 tenths or 4 cents. $ 8,40 

Example 2. Find interest on $6,846.00 for 3 days at 6%. 
6)6346 

1141 
3 



$3.42,3 

Example 3. Find the interest on $9,729.00 for 5 days at I 
4.5 )9729 

2162 

5 days. 



ft081,0 
32 



OF COMPUTING INTEREST. 



Example 4. Find the interest on same sum, for 5 days at 

6)9729 



1621^ 
5 



$8.10,7^ 
Find interest on same sum for same time at 1%. 
36)9729 



1891# 
5_ 

$9.45,834: 



Observe that in the above examples we have but one-tenth 
oelow the zero line, and any fraction that is annexed either in the 
time or the principal, is cut off. In the fraction of a dollar, cut 
off two places and as many tenths, hundredths, thousandths, etc., 
as are annexed. In examples 2 and 4, where we divide the prin- 
cipal by 6, we get one-sixth of the principal, and by multiplying 
the one-sixth by any number of days, and cutting off the right 
hand figure, we have the interest for the given number of days 
at ($%. In the 4th example should we have any other per cent, 
than six, the interest can be obtained by dividing a second time 
by 6 or the whole principal by 36, and multiplying first by the 
rate per cent, and then by the time. 

When it occurs that the divisor for the rate per cent, equals the 
time, cut off the right hand dollar figure of the principal, and the 
interest remains. See following example: 

33 



BEATTYS SHOUT METHOD 



Find the interest on $6,450.00 for 6 days at 6%. 

6 )6450 

107.5 
6 

$645.0 

Find the interest on $6,390.00 for 9 days at 4#. 

9)6390 Answer $6.39. 

710 
9 

639.0 



34 



OF COMPUTING INTEREST. 35 



Miscellaneous Problenis. 



Example 1. In what time will $900.00 gain $11.00, at 5#? 
.05)360 days in 1 year. 

7200 ^ ^ takes 7200 days to gain $1.00, to gain 

H $11.00 it will take 11 times 7200 days, 

o nnvoon n or 79200 davs - But as 90 ° times 88 

juuj^uu dRys equals "79200 days, it is obvious 

88 days. that 88 days is the time required toejain 

$11.00. 

Example 2. In what time will $924.00 gain $151.53.6, at 6#? 
151.53.6 

6)36( 6 

924)909.2f 6(984 days=2 years, 8 months, 24 days. 

Example 3. How much money in 2 years. 6 months, at 7$ 
will amount to $136.53 5? 
2 years=24 months. 
6 
12)30 " 



2.5 

7 



175 on $1.00 for given time, and $1.00 with the interest 
for 30 months=1.175. 
1.175 )136 535 
$116.20 



36 beatty's short method 

Example 4. Received $381.15 for 3 years, 3 months, 18 days, 
on a note of $1,650, what is the rate per cent.? 

3 years=36 months. 3)18 days. 

3 " "6 

39 
12)396 1650 

~3t 33 

4950 
4950 
54.45)3S1,15(7£ 

^i 3 o * s 1 P er cent, of one dollar for the given time, and on 
$1650.00 there w:ll be 3i 3 o times $1650.00 which is $54.45, and 7 
times $54.45 equals $381.15. Therefore, 7 is the required rate per 
cent. 



Example 5. 


In what time will $2,000 amount to $2,340, at 


8£? 






2340 
2000 


8)360 
45 


340 
45 

1700 
1360 


2000)15300 



765 days=2 years, 1 month, 15 days. 



